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Finding the Fourth Proportional to 7,897.50, 10,907.81 and 5,240.30

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Solution

The fourth proportional to 7,897.50, 10,907.81 and 5,240.30 is: 7,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 10,907.81 = 5,240.30 : x
  2. Step 2: Convert to fraction form
    7,897.50/10,907.81 = 5,240.30/x
  3. Step 3: Cross multiply
    7,897.50x = 10,907.81 × 5,240.30
  4. Step 4: Simplify right side
    7,897.50x = 57,160,165.13
  5. Step 5: Solve for x
    x = 57,160,165.13/7,897.50
  6. Step 6: Final answer
    x = 7,237.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.